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Closed-loop control of wavepackets in a free shear-flow

Type
Communications avec actes
Author
SASAKI, Kenzo
471029 Instituto Tecnológico de Aeronáutica [São José dos Campos] [ITA]
TISSOT, Gilles
75 Institut de Recherche Mathématique de Rennes [IRMAR]
961 Laboratoire d'Acoustique de l'Université du Mans [LAUM]
486012 Fluid Flow Analysis, Description and Control from Image Sequences [FLUMINANCE]
CAVALIERI, André V. G.
118112 Institut Pprime [PPRIME]
471029 Instituto Tecnológico de Aeronáutica [São José dos Campos] [ITA]
560912 Acoustique, Aérodynamique, Turbulence [2AT ]
SILVESTRE, Flávio J.
471029 Instituto Tecnológico de Aeronáutica [São José dos Campos] [ITA]
JORDAN, Peter
118112 Institut Pprime [PPRIME]
131861 University of Groningen [Groningen]
300463 ENSMA
560912 Acoustique, Aérodynamique, Turbulence [2AT ]
BIAU, Damien
118112 Institut Pprime [PPRIME]
134975 Laboratoire de Dynamique des Fluides [DynFluid]

URI
http://hdl.handle.net/10985/17802
DOI
10.2514/6.2016-2758
Date
2016

Abstract

This study aims at the attenuation of the unsteady fluctuations along a two-dimensional mixing layer which may be considered as a prototypical problem for the evaluation of es- timation and control techniques, and also a canonical problem, when compressibility is considered, for sound radiation by low-Reynolds-number free shear flows. Two strategies are proposed for the estimation of the time evolution of wavepackets based on upstream data of the simulation: a Parabolised-stability-equation (PSE) based transfer function be- tween two positions and an empirical-transfer-function identification technique, which relies on the theoretical background established by the PSE. Both techniques present a similar performance for prediction of the fluctuations between streamwise-separated input and output positions. Furthermore, the identification method is used to determine the response of the flow to a body force actuation which allows for the elaboration of a Feedforward control framework for the fluctuations via a phase-opposition actuation. This strategy, which is evaluated with three different control laws, presents encouraging results both for the linearized system (i.e. described in terms of transfer functions) and for the non-linear, direct numerical simulation of the mixing layer, in which significant delays of vortex pairing are observed. The established framework is thus seen as a promising technique for real-time flow control aiming at the attenuation of wavepackets, and the corresponding reduction of the radiated sound.

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